已知X-2根号XY+Y=0(X>0,Y>0),则3X-根号XY+Y除以5X+3根号XY-4Y的值为

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已知X-2根号XY+Y=0(X>0,Y>0),则3X-根号XY+Y除以5X+3根号XY-4Y的值为

已知X-2根号XY+Y=0(X>0,Y>0),则3X-根号XY+Y除以5X+3根号XY-4Y的值为
已知X-2根号XY+Y=0(X>0,Y>0),则3X-根号XY+Y除以5X+3根号XY-4Y的值为

已知X-2根号XY+Y=0(X>0,Y>0),则3X-根号XY+Y除以5X+3根号XY-4Y的值为
x-2√(xy)+y=0
(√x-√y)²=0
√x-√y=0
x=y

[3x-√(xy)+y]/[5x+3√(xy)-4y]
=(3x-x+x)/(5x+3x-4x)
=(3x)/(4x)
=3/4